building sodium · radial solver · D-line modes · vertex on…
live TDSE on Marinescu sodium · 32³ grid · 6 D-line modes · vertex on

The sodium atom — emitting.

Real time-dependent Schrödinger equation coupled to the EM field via the validated conjugate-pair vertex (H_int = -(1/c)∫j·A). Start in 3s + 3p; the oscillating dipole sources six D-line-resonant EM modes. Watch the field amplitude grow from vacuum as the matter radiates. Field energy live, total energy conserved by the conjugate-pair derivation (c=137 factor shared between the two halves).
grid  40³
dt  – a.u.
D line  589 nm
renderer  WebGPU
sim time  0.0 a.u.
‖Ψ‖²  1.000
E_field  0.000e+0
E_matter  0.000
max |q_m|²  0.0e0
fps  
eigenstates (electron orbitals) · click 3s / 3p / 3d to set the state · shift+click = superposition
4p
-0.051 H
3d
-0.056 H
4s
-0.072 H
3p
-0.112 H
3s
-0.189 H
dipole ⟨Ψ|z|Ψ⟩
+0.00 a₀
−50 a₀+5
photon emission · 589 nm modes
field energy: 0.0e0  ·  max 0.0e0
+z
−z
+x
−x
+y
−y
watch the field grow — the dipole sources it
tap the atom — perturb the matter, pump the field
drag — rotate  ·  scroll — zoom